{
  "id": "1406.6301",
  "version": "v2",
  "published": "2014-06-24T16:45:38.000Z",
  "updated": "2014-10-10T15:39:01.000Z",
  "title": "Theory of microwave spectroscopy of Andreev bound states with a Josephson junction",
  "authors": [
    "L. Bretheau",
    "Ç. Girit",
    "M. Houzet",
    "H. Pothier",
    "D. Esteve",
    "C. Urbina"
  ],
  "comment": "8 pages, 6 figures",
  "journal": "Physical Review B 90, 134506 (2014)",
  "doi": "10.1103/PhysRevB.90.134506",
  "categories": [
    "cond-mat.mes-hall",
    "cond-mat.supr-con",
    "quant-ph"
  ],
  "abstract": "We present a microscopic theory for the current through a tunnel Josephson junction coupled to a non-linear environment, which consists of an Andreev two-level system coupled to a harmonic oscillator. It models a recent experiment [Bretheau, Girit, Pothier, Esteve, and Urbina, Nature (London) 499, 312 (2013)] on photon spectroscopy of Andreev bound states in a superconducting atomic-size contact. We find the eigenenergies and eigenstates of the environment and derive the current through the junction due to inelastic Cooper pair tunneling. The current-voltage characteristic reveals the transitions between the Andreev bound states, the excitation of the harmonic mode that hybridizes with the Andreev bound states, as well as multi-photon processes. The calculated spectra are in fair agreement with the experimental data.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-24T16:45:38.000Z",
      "title": "Theory of the microwave spectroscopy of Andreev bound states with a Josephson junction",
      "abstract": "We present a microscopic theory for the current through a tunnel Josephson junction coupled to a non-linear environment, which consists of an Andreev two-level system coupled to a harmonic oscillator. It models a recent experiment (Nature 499, 312 (2013)) on photon spectroscopy of Andreev bound states in a superconducting atomic-size contact. We find the eigenenergies and eigenstates of the environment and derive the current through the junction due to inelastic Cooper pair tunneling. The current-voltage characteristic reveals the transitions between the Andreev bound states, the excitation of the harmonic mode that hybridizes with the Andreev bound states, as well as multi-photon processes. The calculated spectra are in fair agreement with the experimental data.",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2014-10-10T15:39:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "74.45.+c",
      "73.23.-b",
      "74.50.+r"
    ],
    "keywords": [
      "andreev bound states",
      "microwave spectroscopy",
      "inelastic cooper pair",
      "experimental data",
      "tunnel josephson junction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review B",
      "year": 2014,
      "month": "Oct",
      "volume": 90,
      "number": 13,
      "pages": 134506
    },
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014PhRvB..90m4506B"
    }
  }
}